Question

the sum of digit of a two digit is dual if the number is reserved by the digit greater than original number by 54 find the original number

Answer 1

Let the original number be 10x + y.

Number formed reversing digits is 10y + x.

Conditions:

x + y = 12                                         ...................................................(1)

10y + x = 10x + y + 54

9x - 9y = -54

Dividing by 9, we get

x - y = -6                                          .............................................................(2)

Solving both the equations, we get

x=3 and y=9

The original number is 39.

Answer 2

Let the original number be 10x + y.

Number formed reversing digits is 10y + x.

Conditions:

x + y = 12                                         ...................................................(1)

10y + x = 10x + y + 54

9x - 9y = -54

Dividing by 9, we get

x - y = -6                                          .............................................................(2)

Solving both the equations, we get

x=3 and y=9

The original number is 39.

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